07-02-2017
Mathematics

Answered

Find the explicit formula for the nth term of the 2/9,0,2/9,0,......

Verified Answer :

LammettHash LammettHash

08-02-2017

The odd-numbered terms are \(\dfrac19+\dfrac19\), while the even-numbered terms are \(\dfrac19-\dfrac19\), so one formula for the sequence is

\(a_n=\dfrac19\left(1+(-1)^{n+1}\right)\)

where \(n\ge1\).

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